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Finding the Fourth Proportional to 22,645.41, 33,971.82 and 9,314.79

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Solution

The fourth proportional to 22,645.41, 33,971.82 and 9,314.79 is: 13,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.41 : 33,971.82 = 9,314.79 : x
  2. Step 2: Convert to fraction form
    22,645.41/33,971.82 = 9,314.79/x
  3. Step 3: Cross multiply
    22,645.41x = 33,971.82 × 9,314.79
  4. Step 4: Simplify right side
    22,645.41x = 316,440,283.18
  5. Step 5: Solve for x
    x = 316,440,283.18/22,645.41
  6. Step 6: Final answer
    x = 13,973.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.